Elliptic curve data - 118976.h2

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  intrinsic_torsion	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '118976cl', 'Clabel': '118976cl2', 'Cnumber': 2, 'abc_quality': 0.9448529711326619, 'absD': 1515314722190635565056, 'adelic_genus': 0, 'adelic_index': 32, 'adelic_level': 264, 'ainvs': [0, 1, 0, 2492863, 1102024639], 'analytic_rank': 0, 'bad_primes': [2, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 118976, 'degree': 5750784, 'elladic_images': ['4.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7516054241975117062238271794', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 3], 'jinv': [8011835663, 7086244], 'lmfdb_iso': '118976.h', 'lmfdb_label': '118976.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 230, -960], 'min_quad_twist_disc': -104, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '12.8.0.a.1', '24.16.0-12.a.1.5', '88.4.0.?', '132.16.0.?', '264.32.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 2, 10816], [11, 12, 10816], [13, 74, 704]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0019184150499025847289873695026', 'prec': 110}, 'szpiro_ratio': 4.774704521530085, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, -2, 0, -3, 0, -2, 0, 1, 0, -1, 0, 0, 0, 6, 0, -3, 0, 2, 0], 'aplist': [0, -2, -3, -2, -1, 0, -3, 2, 0, 3, -8, -11, 9, -4, 6, -3, 6, 7, 14, -12, -7, 10, 6, 6, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 118976, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '118976.h', 'trace_hash': 682244133205783029}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.0040736704788031092485110851684', 'prec': 110}, 'conductor': 118976, 'gens': [], 'heights': [], 'lmfdb_label': '118976.h2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.098244112410156688236072401556', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.39297644964062675294428960622333673067', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '118976.h2'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 5447582
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '118976.h2', 'torsion': [3]}
  • id: 5447583
    {'degree': 3, 'field': [12, -4, -1, 1], 'lmfdb_label': '118976.h2', 'torsion': [2]}
  • id: 5447586
    {'degree': 6, 'field': [-216, 0, 153, 0, 24, 0, 1], 'lmfdb_label': '118976.h2', 'torsion': [6]}
  • id: 5447584
    {'degree': 6, 'field': [8, -20, 25, -6, 2, -2, 1], 'lmfdb_label': '118976.h2', 'torsion': [2, 2]}
  • id: 5447585
    {'degree': 6, 'field': [242, 0, 108, 0, 18, 0, 1], 'lmfdb_label': '118976.h2', 'torsion': [3]}
  • id: 5447587
    {'degree': 12, 'field': [-64, 0, 3154, 0, 57, 0, 266, 0, -33, 0, -2, 0, 1], 'lmfdb_label': '118976.h2', 'torsion': [4]}
  • id: 5447589
    {'degree': 12, 'field': [196, -896, 2048, -3880, 4596, -2344, 1096, -740, 297, -32, 8, -4, 1], 'lmfdb_label': '118976.h2', 'torsion': [2, 6]}
  • id: 5447588
    {'degree': 12, 'field': [675, -2250, 489, 3354, -1160, -906, 821, -534, 252, -90, 29, -6, 1], 'lmfdb_label': '118976.h2', 'torsion': [3, 3]}
  • id: 5447590
    {'degree': 18, 'field': [-21389220800, 75894086400, -32484267072, -73054436224, 62187838128, -4064971680, -2261976256, -221990208, -61951068, 31895072, -481728, -170280, 25055, 2178, 2385, -418, -60, 0, 1], 'lmfdb_label': '118976.h2', 'torsion': [9]}
  • id: 5447591
    {'degree': 18, 'field': [18, 0, -240, 0, 710, 0, 1729, 0, 810, 0, -485, 0, -106, 0, 87, 0, -16, 0, 1], 'lmfdb_label': '118976.h2', 'torsion': [6]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 2929781
    {'conductor': 118976, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '118976.h2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2929782
    {'conductor': 118976, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '118976.h2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2929783
    {'conductor': 118976, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '118976.h2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2441445
    {'adelic_gens': [[131, 0, 0, 263], [232, 9, 69, 28], [123, 259, 257, 260], [253, 12, 252, 13], [5, 2, 226, 249], [259, 262, 170, 147], [1, 0, 12, 1], [143, 252, 144, 251], [4, 9, 3, 7], [1, 12, 0, 1], [89, 12, 88, 1], [119, 255, 225, 236]], 'adelic_image': '264.32.0.?', 'conductor': 118976, 'lmfdb_label': '118976.h2', 'prime': 0}
  • id: 468417
    {'conductor': 118976, 'elladic_image': '4.2.0.1', 'lmfdb_label': '118976.h2', 'modell_image': '2G', 'prime': 2}
  • id: 468418
    {'conductor': 118976, 'elladic_image': '3.4.0.1', 'lmfdb_label': '118976.h2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 118976.h does not appear in ec_padic